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In the particle in a box model, what does the x-axis represent?
The x-axis represents the position within the box.
In the particle in a box model, what does the y-axis represent?
The y-axis represents the amplitude of the wave function.
In the particle in a box model, what does each curve represent?
Each curve represents a different energy state of the particle.
Compare and contrast classical mechanics and quantum mechanics.
Classical mechanics: Describes macroscopic phenomena, continuous variables. Quantum mechanics: Describes atomic/subatomic phenomena, quantized variables.
What is the difference between photon wavelength and de Broglie wavelength?
Photon wavelength: Wavelength of electromagnetic radiation (light). De Broglie wavelength: Wavelength associated with a moving particle.
How do you calculate the energy of a photon given its frequency?
Use the formula $E = hf$, where E is energy, h is Planck's constant, and f is frequency.
How do you calculate the de Broglie wavelength of a particle?
Use the formula $位 = \frac{h}{p}$, where 位 is the de Broglie wavelength, h is Planck's constant, and p is the momentum of the particle.
Describe how a photon's speed changes when it enters a medium.
The photon's speed decreases. The amount of decrease is inversely proportional to the medium's index of refraction.